Question

Which statement is true for division of rational numbers? *
It follows closure property.

it is the inverse of multiplication

It follows associative property.

it can be performed by 0.

Answer 1

The division of rational numbers follows the closure property.

Explanation:

• Closure property for the  division of rational number states that if $a$ and $b$ are two rational number, then $\frac{a}{b}$ or $\frac{b}{a}$  is also a rational number.
• The division of rational numbers does not follow the inverse of multiplication. According to it,  $\frac{a}{b}$ = $\frac{1}{ab}$ which is not possible.
• The associative property is not followed by the division of rational numbers. Associative property states that  $(a + b) +c = a + (b + c)$
• The division of rational numbers cannot be performed by 0.
• Hence, the division of rational numbers follows the closure property.

Answer 2

Answer:

it follows closure property